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Finding the Fourth Proportional to 18,660.50, 25,751.50 and 10,277

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Solution

The fourth proportional to 18,660.50, 25,751.50 and 10,277 is: 14,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,660.50 : 25,751.50 = 10,277 : x
  2. Step 2: Convert to fraction form
    18,660.50/25,751.50 = 10,277/x
  3. Step 3: Cross multiply
    18,660.50x = 25,751.50 × 10,277
  4. Step 4: Simplify right side
    18,660.50x = 264,648,165.50
  5. Step 5: Solve for x
    x = 264,648,165.50/18,660.50
  6. Step 6: Final answer
    x = 14,182.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.